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  • Discs in Stein manifolds
    Globevnik, Josip, 1945-
    Let ▫$\Delta$▫ be the open unit disc in ▫$\mathbb C$▫. We prove the following theorem: Let ▫$M$▫ be a Stein manifold, ▫${\rm dim}M \ge 2$▫. Given a point ▫$p \in M$▫ and a vector ▫$X$▫ tangent to ... ▫$M$▫ at ▫$p$▫ there is a proper holomorphic map ▫$f: \Delta \to M$▫ such that ▫$f(0) = p$▫ and such that ▫$f'(0) = \lambda M$▫ for some ▫$\lambda > 0$▫. This has been known in the special case when ▫$M$▫ is a bounded domain in ▫$\mathbb C^N$▫ with boundary of class ▫${\cal C}^2$▫. It was proved (F. Forstnerič and J. Globevnik, 1992) by using the fact that for such domains there are bounded strictly plurisubharmonic exhaustion functions without critical points near the boundary.
    Vir: Preprint series. - ISSN 1318-4865 (Let. 36, št. 629, 1998, str. 1-16)
    Vrsta gradiva - članek, sestavni del
    Leto - 1998
    Jezik - angleški
    COBISS.SI-ID - 8316249

    Povezava(-e):

    http://www.imfm.si/preprinti/PDF/00629.pdf

vir: Preprint series. - ISSN 1318-4865 (Let. 36, št. 629, 1998, str. 1-16)
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